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506217157 is a prime number
BaseRepresentation
bin11110001011000…
…100001011000101
31022021112111101121
4132023010023011
52014042422112
6122121553541
715354526525
oct3613041305
91267474347
10506217157
1123a823496
121216458b1
1380b50ba4
144b333685
152e695407
hex1e2c42c5

506217157 has 2 divisors, whose sum is σ = 506217158. Its totient is φ = 506217156.

The previous prime is 506217139. The next prime is 506217161. The reversal of 506217157 is 751712605.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 312617761 + 193599396 = 17681^2 + 13914^2 .

It is a cyclic number.

It is not a de Polignac number, because 506217157 - 27 = 506217029 is a prime.

It is equal to p26665720 and since 506217157 and 26665720 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (506211157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253108578 + 253108579.

It is an arithmetic number, because the mean of its divisors is an integer number (253108579).

Almost surely, 2506217157 is an apocalyptic number.

It is an amenable number.

506217157 is a deficient number, since it is larger than the sum of its proper divisors (1).

506217157 is an equidigital number, since it uses as much as digits as its factorization.

506217157 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14700, while the sum is 34.

The square root of 506217157 is about 22499.2701437180. The cubic root of 506217157 is about 796.9766915042.

The spelling of 506217157 in words is "five hundred six million, two hundred seventeen thousand, one hundred fifty-seven".